Write an equation for this line​

y + 3 = 2(x - 4)

Step-by-step explanation:

Use the equation of a line format y - k = m(x - h), where m is the given slope and (h, k) is the given point.  Here (h, k) is (4, -3) and m is 2.

Then y + 3 = 2(x - 4) (point-slope form)

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1